Mathematical fact: 5282 is the number of different arrangements (up to rotation and reflection) of 8 non-attacking rooks on a 8×8 chessboard.
Trivia: 5282 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Historical date: June 17th is the day in 1960 that the Nez Perce tribe is awarded $4 million for 7 million acres (28,000 km2) of land undervalued at 4 cents/acre in the 1863 treaty.